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Finding the Fourth Proportional to 11,591.03, 15,995.88 and 6,814.46

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Solution

The fourth proportional to 11,591.03, 15,995.88 and 6,814.46 is: 9,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.03 : 15,995.88 = 6,814.46 : x
  2. Step 2: Convert to fraction form
    11,591.03/15,995.88 = 6,814.46/x
  3. Step 3: Cross multiply
    11,591.03x = 15,995.88 × 6,814.46
  4. Step 4: Simplify right side
    11,591.03x = 109,003,204.45
  5. Step 5: Solve for x
    x = 109,003,204.45/11,591.03
  6. Step 6: Final answer
    x = 9,404.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.